59416960 has 64 divisors (see below), whose sum is σ = 142987680. Its totient is φ = 23609344.

The previous prime is 59416949. The next prime is 59416979. The reversal of 59416960 is 6961495.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168144 + ... + 168496.

Almost surely, 2^59416960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71493840).

59416960 is an abundant number, since it is smaller than the sum of its proper divisors (83570720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59416960 is a wasteful number, since it uses less digits than its factorization.

59416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 59416960 is about 7708.2397471796. The cubic root of 59416960 is about 390.2145652539.

The spelling of 59416960 in words is "fifty-nine million, four hundred sixteen thousand, nine hundred sixty".